2 citations · 2 across the 2 of their papers we have counts for
3 papers
Application of the extended -discrete Toda equation to computing eigenvalues of Hessenberg totally nonnegative matrices
R. Watanabe, M. Shinjo, Y. Yamamoto +1
The Toda equation is one of the most famous integrable systems, and its time-discretization is simply the recursion formula of the quotient-difference (qd) algorithm for computing…
Two characteristic polynomials corresponding to graphical networks over min-plus algebra
Sennosuke Watanabe, Yuto Tozuka, Yoshihide Watanabe +2
In this paper, we investigate characteristic polynomials of matrices in min-plus algebra. Eigenvalues of min-plus matrices are known to be the minimum roots of the characteristic p…
Discrete-time analysis for the integrable discrete Toda equations and the discrete Lotka-Volterra system
Masato Shinjo, Yoshimasa Nakamura, Masashi Iwasaki +1
The discrete autonomous/non-autonomous Toda equations and the discrete Lotka-Volterra system are important integrable discrete systems in fields such as mathematical physics, mathe…